Question
Factor the expression
(x−1)(x2+2x+2)
Evaluate
x3+x2−2
Calculate
x3+2x2+2x−x2−2x−2
Rewrite the expression
x×x2+x×2x+x×2−x2−2x−2
Factor out x from the expression
x(x2+2x+2)−x2−2x−2
Factor out −1 from the expression
x(x2+2x+2)−(x2+2x+2)
Solution
(x−1)(x2+2x+2)
Show Solution
Find the roots
x1=−1−i,x2=−1+i,x3=1
Evaluate
x3+x2−2
To find the roots of the expression,set the expression equal to 0
x3+x2−2=0
Factor the expression
(x−1)(x2+2x+2)=0
Separate the equation into 2 possible cases
x−1=0x2+2x+2=0
Solve the equation
More Steps
Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=1x2+2x+2=0
Solve the equation
More Steps
Evaluate
x2+2x+2=0
Substitute a=1,b=2 and c=2 into the quadratic formula x=2a−b±b2−4ac
x=2−2±22−4×2
Simplify the expression
More Steps
Evaluate
22−4×2
Multiply the numbers
22−8
Evaluate the power
4−8
Subtract the numbers
−4
x=2−2±−4
Simplify the radical expression
More Steps
Evaluate
−4
Evaluate the power
4×−1
Evaluate the power
4×i
Evaluate the square root
2i
x=2−2±2i
Separate the equation into 2 possible cases
x=2−2+2ix=2−2−2i
Simplify the expression
x=−1+ix=2−2−2i
Simplify the expression
x=−1+ix=−1−i
x=1x=−1+ix=−1−i
Solution
x1=−1−i,x2=−1+i,x3=1
Show Solution